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42014010042 = 234259345741
BaseRepresentation
bin100111001000001110…
…101110101010111010
311000110000202211220000
4213020032232222322
51142021041310132
631145002013430
73015101123124
oct471016565272
9130400684800
1042014010042
11168aa8a4654
1281864a7276
133c673c3794
142067c72214
15115d71587c
hex9c83aeaba

42014010042 has 20 divisors (see below), whose sum is σ = 94142504346. Its totient is φ = 14004669960.

The previous prime is 42014010019. The next prime is 42014010089. The reversal of 42014010042 is 24001041024.

42014010042 is a `hidden beast` number, since 420 + 140 + 100 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30231124641 + 11782885401 = 173871^2 + 108549^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42014009997 and 42014010024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 129672709 + ... + 129673032.

Almost surely, 242014010042 is an apocalyptic number.

42014010042 is an abundant number, since it is smaller than the sum of its proper divisors (52128494304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42014010042 is a wasteful number, since it uses less digits than its factorization.

42014010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259345755 (or 259345746 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42014010042 its reverse (24001041024), we get a palindrome (66015051066).

The spelling of 42014010042 in words is "forty-two billion, fourteen million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 259345741 518691482 778037223 1556074446 2334111669 4668223338 7002335007 14004670014 21007005021 42014010042